Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400cc |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.72265625E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,507992,6313399988] |
[a1,a2,a3,a4,a6] |
Generators |
[-1228:61962:1] |
Generators of the group modulo torsion |
j |
226523624554079/269165039062500 |
j-invariant |
L |
5.2217256152496 |
L(r)(E,1)/r! |
Ω |
0.096352811876565 |
Real period |
R |
6.7742257770575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1050c6 33600eq5 25200dz5 1680p6 |
Quadratic twists by: -4 8 -3 5 |